Search a number
-
+
4314322012 = 22721113153929
BaseRepresentation
bin1000000010010011…
…10101010001011100
3102010200011021012011
410001021311101130
532313431301022
61552034521004
7211625063200
oct40111652134
912120137164
104314322012
11191435aa90
12a04a36164
13539a95380
142ccdb4b00
151a3b62977
hex10127545c

4314322012 has 72 divisors (see below), whose sum is σ = 10318235760. Its totient is φ = 1551594240.

The previous prime is 4314322007. The next prime is 4314322013. The reversal of 4314322012 is 2102234134.

It is a super-3 number, since 3×43143220123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314322013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48937 + ... + 104992.

It is an arithmetic number, because the mean of its divisors is an integer number (143308830).

Almost surely, 24314322012 is an apocalyptic number.

It is an amenable number.

4314322012 is an abundant number, since it is smaller than the sum of its proper divisors (6003913748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4314322012 is a wasteful number, since it uses less digits than its factorization.

4314322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153971 (or 153962 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4314322012 is about 65683.4987801350. The cubic root of 4314322012 is about 1627.9367186594.

Adding to 4314322012 its reverse (2102234134), we get a palindrome (6416556146).

The spelling of 4314322012 in words is "four billion, three hundred fourteen million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 153929 307858 615716 1077503 1693219 2001077 2155006 3386438 4002154 4310012 6772876 7542521 8004308 11852533 14007539 15085042 22011847 23705066 28015078 30170084 44023694 47410132 56030156 82967731 88047388 98052773 154082929 165935462 196105546 308165858 331870924 392211092 616331716 1078580503 2157161006 4314322012